What is the Greatest Common Factor of 57267 and 57274?

Greatest common factor (GCF) of 57267 and 57274 is 7.

GCF(57267,57274) = 7

We will now calculate the prime factors of 57267 and 57274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57267 and 57274.

How to find the GCF of 57267 and 57274?

We will first find the prime factorization of 57267 and 57274. After we will calculate the factors of 57267 and 57274 and find the biggest common factor number .

Step-1: Prime Factorization of 57267

Prime factors of 57267 are 3, 7, 101. Prime factorization of 57267 in exponential form is:

57267 = 3⁴ × 7¹ × 101¹

Step-2: Prime Factorization of 57274

Prime factors of 57274 are 2, 7, 4091. Prime factorization of 57274 in exponential form is:

57274 = 2¹ × 7¹ × 4091¹

Step-3: Factors of 57267

List of positive integer factors of 57267 that divides 57267 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 101, 189, 303, 567, 707, 909, 2121, 2727, 6363, 8181, 19089

Step-4: Factors of 57274

List of positive integer factors of 57274 that divides 57267 without a remainder.

1, 2, 7, 14, 4091, 8182, 28637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57267 and 57274. The biggest common factor number is the GCF number.
So the greatest common factor 57267 and 57274 is 7.

Also check out the Least Common Multiple of 57267 and 57274